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International Journal of Mathematics and Mathematical Sciences
Volume 2015 (2015), Article ID 351742, 4 pages
Research Article

On the -Version of the Schwab-Borchardt Mean II

Mathematical Research Institute, 144 Hawthorn Hollow, Carbondale, IL 62903, USA

Received 3 November 2014; Accepted 9 March 2015

Academic Editor: Charles E. Chidume

Copyright © 2015 Edward Neuman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the -version of the Schwab-Borchardt mean. Lower and upper bounds for this mean, expressed in terms of the weighted geometric and arithmetic means of its variables, are obtained. Applications to four bivariate means, introduced earlier by the author of this paper, are included.